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Distribution of energy momentum tensor around static charges in lattice simulations and an effective model / / Ryosuke Yanagihara
Distribution of energy momentum tensor around static charges in lattice simulations and an effective model / / Ryosuke Yanagihara
Autore Yanagihara Ryosuke
Pubbl/distr/stampa Gateway East, Singapore : , : Springer, , [2021]
Descrizione fisica 1 online resource (170 pages)
Disciplina 530.143
Collana Springer Theses
Soggetto topico Yang-Mills theory
Quantum chromodynamics
Lattice gauge theories
ISBN 981-16-6234-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Supervisors' Foreword -- Preface -- Acknowledgements -- Contents -- 1 Introduction -- 1.1 Quantum Chromodynamics -- 1.1.1 Asymptotic Freedom -- 1.1.2 Chiral Symmetry -- 1.1.3 Confinement -- 1.2 Flux Tube -- 1.2.1 Dual Abelian-Higgs Model -- 1.2.2 Dynamics of Strings -- 1.2.3 Lattice Approach -- 1.3 Phase Transition and Exploration of Deconfined Phase -- 1.4 Purpose -- 1.4.1 Lattice Study -- 1.4.2 Effective Model -- 1.5 Organization -- References -- 2 Energy Momentum Tensor -- 2.1 Derivation and Properties of Energy Momentum Tensor -- 2.1.1 Derivation and Properties -- 2.1.2 Physical Meanings -- 2.1.3 Example: Energy Momentum Tensor in Pure Gauge Theory -- 2.2 Energy Momentum Tensor in Maxwell Theory -- 2.2.1 Maxwell Equations and Classical System -- 2.2.2 Energy Conservation -- 2.2.3 Momentum Conservation -- 2.2.4 Maxwell Stress and Coulomb Force -- 2.2.5 Stress Distribution on Source Plane -- References -- 3 Lattice Field Theory -- 3.1 Feynman Path Integral -- 3.2 Lattice Regularization -- 3.2.1 Simple Example -- 3.2.2 Free Boson Field -- 3.2.3 Free Fermion Field -- 3.3 Lattice Gauge Theory -- 3.3.1 Gauge Principle and Gauge Field -- 3.3.2 Link Variable -- 3.3.3 Path Integral -- 3.3.4 Non-Abelian Gauge Theory on the Lattice -- 3.4 Gauge-Invariant Quantity on the Lattice -- 3.4.1 Wilson Loop -- 3.4.2 Polyakov Loop -- References -- 4 Yang-Mills Gradient Flow and Energy Momentum Tensor -- 4.1 Quantum Theory of Yang-Mills Theory -- 4.1.1 Action -- 4.1.2 Quantization -- 4.1.3 One-Loop Divergences -- 4.1.4 Renormalization -- 4.2 Introduction to Gradient Flow -- 4.2.1 Idea of Yang-Mills Gradient Flow -- 4.2.2 Perturbative Expansion of Gradient Flow -- 4.2.3 Example: Two-Point Function of Flowed Gauge Field -- 4.3 Proof of Renormalizability of Gradient Flow -- 4.3.1 (D+1)-Dimensional Field Theory.
4.3.2 BRS Invariance and WT Identity of (D+1)-Dimensional System -- 4.3.3 Proof of Renormalizability -- 4.4 Application to Energy Momentum Tensor -- 4.4.1 Small Flow Time Expansion -- 4.4.2 Renormalization Group Equation and Expansion Coefficients -- 4.4.3 Energy Momentum Tensor on the Lattice -- 4.5 Comments on Fermions -- References -- 5 Distribution of Energy Momentum Tensor around Single Static Quark in Deconfined Phase of SU(3) Yang-Mills Theory -- 5.1 EMT around a Static Quark in SU(3) Yang-Mills Theory on the Lattice -- 5.1.1 Correlation -- 5.1.2 Spherical Coordinate -- 5.2 Lattice Setup -- 5.2.1 Gauge Configurations -- 5.2.2 Discretization Effect -- 5.2.3 Double Extrapolation -- 5.3 Results of EMT Distributions -- 5.3.1 Channel Dependence -- 5.3.2 Temperature Dependence -- References -- 6 Distribution of Energy Momentum Tensor around Static Quark-Anti-Quark in Vacuum of SU(3) Yang-Mills Theory -- 6.1 Wilson Loop and QbarQ Potential -- 6.1.1 QbarQ Potential -- 6.1.2 Determination of NAPE -- 6.2 Distribution of Energy Momentum Tensor around QbarQ -- 6.2.1 Correlation -- 6.2.2 Cylindrical Coordinate -- 6.3 Setup -- 6.4 EMT Distribution on Source Plane -- 6.5 EMT Distribution on Mid-Plane -- 6.5.1 Double Extrapolation -- 6.5.2 EMT Distribution on Mid-Plane -- References -- 7 Distribution of Energy Momentum Tensor around Magnetic Vortex in Abelian-Higgs Model -- 7.1 Stress Tensor and Momentum Conservation in Cylindrical Coordinate -- 7.2 Abelian-Higgs Model -- 7.2.1 Model -- 7.2.2 Energy Momentum Tensor in Cylindrical Coordinate System -- 7.3 Magnetic Vortex -- 7.3.1 Magnetic Vortex with Finite Length -- 7.3.2 Infinitely Long Vortex -- 7.3.3 Physical Units -- 7.3.4 Details of Numerical Analysis -- 7.4 Numerical Results -- 7.4.1 Infinitely Long Vortex -- 7.4.2 Finite-Length Flux Tube -- References -- 8 Summary and Outlook -- References.
Appendix A Improved Estimator -- Appendix B Tree-Level Improvement of Lattice Observables -- Appendix C Leading-Order Perturbative Analysis of EMT around Single Static Charge -- Appendix D Smearing Method -- D.1 SU(N) Projection -- D.2 APE Smearing -- Appendix E Analytic Properties of Abelian-Higgs Model.
Record Nr. UNISA-996466847303316
Yanagihara Ryosuke  
Gateway East, Singapore : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Distribution of energy momentum tensor around static charges in lattice simulations and an effective model / / Ryosuke Yanagihara
Distribution of energy momentum tensor around static charges in lattice simulations and an effective model / / Ryosuke Yanagihara
Autore Yanagihara Ryosuke
Pubbl/distr/stampa Gateway East, Singapore : , : Springer, , [2021]
Descrizione fisica 1 online resource (170 pages)
Disciplina 530.143
Collana Springer Theses
Soggetto topico Yang-Mills theory
Quantum chromodynamics
Lattice gauge theories
ISBN 981-16-6234-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Supervisors' Foreword -- Preface -- Acknowledgements -- Contents -- 1 Introduction -- 1.1 Quantum Chromodynamics -- 1.1.1 Asymptotic Freedom -- 1.1.2 Chiral Symmetry -- 1.1.3 Confinement -- 1.2 Flux Tube -- 1.2.1 Dual Abelian-Higgs Model -- 1.2.2 Dynamics of Strings -- 1.2.3 Lattice Approach -- 1.3 Phase Transition and Exploration of Deconfined Phase -- 1.4 Purpose -- 1.4.1 Lattice Study -- 1.4.2 Effective Model -- 1.5 Organization -- References -- 2 Energy Momentum Tensor -- 2.1 Derivation and Properties of Energy Momentum Tensor -- 2.1.1 Derivation and Properties -- 2.1.2 Physical Meanings -- 2.1.3 Example: Energy Momentum Tensor in Pure Gauge Theory -- 2.2 Energy Momentum Tensor in Maxwell Theory -- 2.2.1 Maxwell Equations and Classical System -- 2.2.2 Energy Conservation -- 2.2.3 Momentum Conservation -- 2.2.4 Maxwell Stress and Coulomb Force -- 2.2.5 Stress Distribution on Source Plane -- References -- 3 Lattice Field Theory -- 3.1 Feynman Path Integral -- 3.2 Lattice Regularization -- 3.2.1 Simple Example -- 3.2.2 Free Boson Field -- 3.2.3 Free Fermion Field -- 3.3 Lattice Gauge Theory -- 3.3.1 Gauge Principle and Gauge Field -- 3.3.2 Link Variable -- 3.3.3 Path Integral -- 3.3.4 Non-Abelian Gauge Theory on the Lattice -- 3.4 Gauge-Invariant Quantity on the Lattice -- 3.4.1 Wilson Loop -- 3.4.2 Polyakov Loop -- References -- 4 Yang-Mills Gradient Flow and Energy Momentum Tensor -- 4.1 Quantum Theory of Yang-Mills Theory -- 4.1.1 Action -- 4.1.2 Quantization -- 4.1.3 One-Loop Divergences -- 4.1.4 Renormalization -- 4.2 Introduction to Gradient Flow -- 4.2.1 Idea of Yang-Mills Gradient Flow -- 4.2.2 Perturbative Expansion of Gradient Flow -- 4.2.3 Example: Two-Point Function of Flowed Gauge Field -- 4.3 Proof of Renormalizability of Gradient Flow -- 4.3.1 (D+1)-Dimensional Field Theory.
4.3.2 BRS Invariance and WT Identity of (D+1)-Dimensional System -- 4.3.3 Proof of Renormalizability -- 4.4 Application to Energy Momentum Tensor -- 4.4.1 Small Flow Time Expansion -- 4.4.2 Renormalization Group Equation and Expansion Coefficients -- 4.4.3 Energy Momentum Tensor on the Lattice -- 4.5 Comments on Fermions -- References -- 5 Distribution of Energy Momentum Tensor around Single Static Quark in Deconfined Phase of SU(3) Yang-Mills Theory -- 5.1 EMT around a Static Quark in SU(3) Yang-Mills Theory on the Lattice -- 5.1.1 Correlation -- 5.1.2 Spherical Coordinate -- 5.2 Lattice Setup -- 5.2.1 Gauge Configurations -- 5.2.2 Discretization Effect -- 5.2.3 Double Extrapolation -- 5.3 Results of EMT Distributions -- 5.3.1 Channel Dependence -- 5.3.2 Temperature Dependence -- References -- 6 Distribution of Energy Momentum Tensor around Static Quark-Anti-Quark in Vacuum of SU(3) Yang-Mills Theory -- 6.1 Wilson Loop and QbarQ Potential -- 6.1.1 QbarQ Potential -- 6.1.2 Determination of NAPE -- 6.2 Distribution of Energy Momentum Tensor around QbarQ -- 6.2.1 Correlation -- 6.2.2 Cylindrical Coordinate -- 6.3 Setup -- 6.4 EMT Distribution on Source Plane -- 6.5 EMT Distribution on Mid-Plane -- 6.5.1 Double Extrapolation -- 6.5.2 EMT Distribution on Mid-Plane -- References -- 7 Distribution of Energy Momentum Tensor around Magnetic Vortex in Abelian-Higgs Model -- 7.1 Stress Tensor and Momentum Conservation in Cylindrical Coordinate -- 7.2 Abelian-Higgs Model -- 7.2.1 Model -- 7.2.2 Energy Momentum Tensor in Cylindrical Coordinate System -- 7.3 Magnetic Vortex -- 7.3.1 Magnetic Vortex with Finite Length -- 7.3.2 Infinitely Long Vortex -- 7.3.3 Physical Units -- 7.3.4 Details of Numerical Analysis -- 7.4 Numerical Results -- 7.4.1 Infinitely Long Vortex -- 7.4.2 Finite-Length Flux Tube -- References -- 8 Summary and Outlook -- References.
Appendix A Improved Estimator -- Appendix B Tree-Level Improvement of Lattice Observables -- Appendix C Leading-Order Perturbative Analysis of EMT around Single Static Charge -- Appendix D Smearing Method -- D.1 SU(N) Projection -- D.2 APE Smearing -- Appendix E Analytic Properties of Abelian-Higgs Model.
Record Nr. UNINA-9910506375703321
Yanagihara Ryosuke  
Gateway East, Singapore : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Lattice gauge theories : an introduction / / Heinz J. Rothe
Lattice gauge theories : an introduction / / Heinz J. Rothe
Autore Rothe Heinz J.
Edizione [Fourth edition.]
Pubbl/distr/stampa Hackensack, New Jersey : , : World Scientific, , 2012
Descrizione fisica 1 online resource (606 pages)
Disciplina 530.1435
Collana World Scientific Lecture Notes In Physics
Soggetto topico Lattice gauge theories
ISBN 981-4365-87-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910493741603321
Rothe Heinz J.  
Hackensack, New Jersey : , : World Scientific, , 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Lattice gauge theories : an introduction / Heinz J. Rothe
Lattice gauge theories : an introduction / Heinz J. Rothe
Autore Rothe, Heinz J.
Pubbl/distr/stampa River Edge, N. J. ; Singapore : World Scientific, c1992
Descrizione fisica xiii, 381 p. : ill. ; 23 cm
Collana World Scientific lecture notes in physics ; 43
Soggetto topico Lattice gauge theories
ISBN 9810206062
Classificazione 53.3.1
53.3.2
53.3.11
539.7548
QC793.3.G38
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione en
Record Nr. UNISALENTO-991001048159707536
Rothe, Heinz J.  
River Edge, N. J. ; Singapore : World Scientific, c1992
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Lattice gauge theories and Monte Carlo simulations / Claudio Rebbi
Lattice gauge theories and Monte Carlo simulations / Claudio Rebbi
Autore Rebbi, Claudio
Pubbl/distr/stampa Singapore : World Scientific, 1983
Descrizione fisica xiv, 657 p. : ill. ; 22 cm.
Soggetto topico Lattice gauge theories
ISBN 9971950707
Classificazione 53.3.11
530.1'43
QC793.3.F5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione en
Record Nr. UNISALENTO-991001048209707536
Rebbi, Claudio  
Singapore : World Scientific, 1983
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Perspectives in lattice QCD [[electronic resource] ] : proceedings of the workshop : Nara International Seminar House, Nara, Japan, 31 October-11 November 2005 / / edited by Yoshinobu Kuramashi
Perspectives in lattice QCD [[electronic resource] ] : proceedings of the workshop : Nara International Seminar House, Nara, Japan, 31 October-11 November 2005 / / edited by Yoshinobu Kuramashi
Pubbl/distr/stampa Hackensack, NJ, : World Scientific, c2008
Descrizione fisica 1 online resource (vii, 312 p. ) : ill
Disciplina 539.7/548
Altri autori (Persone) KuramashiYoshinobu
Soggetto topico Quantum chromodynamics
Lattice field theory
Lattice gauge theories
Soggetto genere / forma Electronic books.
ISBN 1-281-93360-0
9786611933609
981-279-092-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- Fixed point actions, symmetries and symmetry transformations on the lattice / P. Hasenfratz -- Algorithms for dynamical fennions / A. D. Kennedy -- Applications of chiral perturbation theory to lattice QCD / Stephen R. Sharpe -- Lattice QCD with a chiral twist / S. Sint -- Non-perturbative QCD: renormalization, O(A) - Improvement and matching to Heavy Quark effective theory / Rainer Sommer.
Record Nr. UNINA-9910451171003321
Hackensack, NJ, : World Scientific, c2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Perspectives in lattice QCD [[electronic resource] ] : proceedings of the workshop : Nara International Seminar House, Nara, Japan, 31 October-11 November 2005 / / edited by Yoshinobu Kuramashi
Perspectives in lattice QCD [[electronic resource] ] : proceedings of the workshop : Nara International Seminar House, Nara, Japan, 31 October-11 November 2005 / / edited by Yoshinobu Kuramashi
Pubbl/distr/stampa Hackensack, NJ, : World Scientific, c2008
Descrizione fisica 1 online resource (vii, 312 p. ) : ill
Disciplina 539.7/548
Altri autori (Persone) KuramashiYoshinobu
Soggetto topico Quantum chromodynamics
Lattice field theory
Lattice gauge theories
ISBN 1-281-93360-0
9786611933609
981-279-092-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- Fixed point actions, symmetries and symmetry transformations on the lattice / P. Hasenfratz -- Algorithms for dynamical fennions / A. D. Kennedy -- Applications of chiral perturbation theory to lattice QCD / Stephen R. Sharpe -- Lattice QCD with a chiral twist / S. Sint -- Non-perturbative QCD: renormalization, O(A) - Improvement and matching to Heavy Quark effective theory / Rainer Sommer.
Record Nr. UNINA-9910777487803321
Hackensack, NJ, : World Scientific, c2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Perspectives in lattice QCD : proceedings of the workshop : Nara International Seminar House, Nara, Japan, 31 October-11 November 2005 / / edited by Yoshinobu Kuramashi
Perspectives in lattice QCD : proceedings of the workshop : Nara International Seminar House, Nara, Japan, 31 October-11 November 2005 / / edited by Yoshinobu Kuramashi
Edizione [1st ed.]
Pubbl/distr/stampa Hackensack, NJ, : World Scientific, c2008
Descrizione fisica 1 online resource (vii, 312 p. ) : ill
Disciplina 539.7/548
Altri autori (Persone) KuramashiYoshinobu
Soggetto topico Quantum chromodynamics
Lattice field theory
Lattice gauge theories
ISBN 1-281-93360-0
9786611933609
981-279-092-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- Fixed point actions, symmetries and symmetry transformations on the lattice / P. Hasenfratz -- Algorithms for dynamical fennions / A. D. Kennedy -- Applications of chiral perturbation theory to lattice QCD / Stephen R. Sharpe -- Lattice QCD with a chiral twist / S. Sint -- Non-perturbative QCD: renormalization, O(A) - Improvement and matching to Heavy Quark effective theory / Rainer Sommer.
Record Nr. UNINA-9910812495103321
Hackensack, NJ, : World Scientific, c2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui